Final answer:
The base and height of the triangle are approximately 180.9 yards and 90.45 yards respectively.
Step-by-step explanation:
The question requires solving a problem based on the properties of a triangle. The area of a triangle can be calculated with the formula 0.5 x base x height. In this case, the base of the triangle is twice its height, and its area is given as 8181 square yards.
Let's denote the height of the triangle as 'h'. Since the base is twice the height, we can denote the base as '2h'. Substituting these into the area formula, we get 0.5 x h x 2h = 8181. Simplifying this equation yields h^2 = 8181, and solving for 'h', we find that the height of the triangle (h) is sqrt(8181) = approximately 90.45 yards. Since the base is twice the height, the base of the triangle is 2h = 2 x 90.45 = 180.9 yards.
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